Atkin-Lehner |
2+ 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22610f |
Isogeny class |
Conductor |
22610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-131838910000 = -1 · 24 · 54 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 0 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1187,7656] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:42:1] [6:119:1] |
Generators of the group modulo torsion |
j |
185183253170999/131838910000 |
j-invariant |
L |
4.2948879944066 |
L(r)(E,1)/r! |
Ω |
0.65971235591677 |
Real period |
R |
0.81378042185486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050cf2 |
Quadratic twists by: 5 |